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气固两相弯管湍流场中圆柱状颗粒取向和沉积特性的研究

李亮 石瑞芳 林建忠

李亮,石瑞芳,林建忠. 气固两相弯管湍流场中圆柱状颗粒取向和沉积特性的研究 [J]. 应用数学和力学,2022,43(7):1-12 doi: 10.21656/1000-0887.420320
引用本文: 李亮,石瑞芳,林建忠. 气固两相弯管湍流场中圆柱状颗粒取向和沉积特性的研究 [J]. 应用数学和力学,2022,43(7):1-12 doi: 10.21656/1000-0887.420320
LI Liang, SHI Ruifang, LIN Jianzhong. Research on the Deposition and Orientation Characteristics of Cylindrical Particles in a Gas-solid Two-phase Turbulent Flow Through a Curved Tube[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.420320
Citation: LI Liang, SHI Ruifang, LIN Jianzhong. Research on the Deposition and Orientation Characteristics of Cylindrical Particles in a Gas-solid Two-phase Turbulent Flow Through a Curved Tube[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.420320

气固两相弯管湍流场中圆柱状颗粒取向和沉积特性的研究

doi: 10.21656/1000-0887.420320
基金项目: 湖南省科技创新计划(2020RC4029)
详细信息
    作者简介:

    李亮(1985—),男,博士生(E-mail:zlzkliang@163.com

    林建忠(1958—),男,教授,博士(通讯作者. E-mail:mecjzlin@public.zju.edu.cn

  • 中图分类号: O359

Research on the Deposition and Orientation Characteristics of Cylindrical Particles in a Gas-solid Two-phase Turbulent Flow Through a Curved Tube

  • 摘要: 针对在Reynolds数Re=3000 ~ 50000、Stokes数St=0.1 ~ 10、Dean数De=1400 ~ 2800的情况下,长径比β=2 ~ 12的圆柱状颗粒流经弯管湍流场时的取向与沉积特性进行了研究。圆柱状颗粒的运动采用细长体理论结合Newton第二定律进行描述,取向分布函数由Fokker-Planck方程给出,平均湍流场通过求解Reynolds平均运动方程结合Reynolds应力方程得到,作用在颗粒上的湍流脉动速度由动力学模拟扫掠模型描述。通过求解湍流场以及颗粒的运动方程和取向分布函数方程,得到并分析了沿流向不同截面和出口处颗粒的取向分布,讨论了各因素对颗粒沉积特性的影响。研究结果表明,随着St和颗粒长径比β的增加、DeRe的减少,颗粒的主轴更趋向于流动方向。颗粒的沉积率随着DeRe、St和颗粒长径比的增大而增加,所得结论对于工程实际应用具有参考价值。
  • 图  1  弯管流场和坐标系

    Figure  1.  Flow of a curved tube and coordinate system

    图  2  两个坐标系

    Figure  2.  Two coordinate systems

    图  3  两颗粒碰撞示意图

    Figure  3.  Schematic of collision of two particles

    图  4  平均轴向速度和轴向脉动速度均方根的分布(Re=10500, De=2460):(a) 平均轴向速度;(b) 轴向脉动速度均方根

    Figure  4.  Distribution of mean axial velocity and RMS value of fluctuating axial velocity (Re=10500, De=2460): (a) mean axial velocity; (b) RMS value of fluctuating axial velocity

    图  5  横截面上颗粒平均取向分布(Re=30000, St=1, De=2200,β=8)

    Figure  5.  Distributions of mean orientation of particles on cross-section (Re =30000, St =1, De=2200,β=8)

    图  6  不同St时颗粒平均取向分布(Re=30000, De=2200, β=8)

    Figure  6.  Distribution of particle orientation for different St (Re =30000, De =2200, β=8)

    图  7  不同De时颗粒平均取向分布(Re =30000, St=1, β=8)

    Figure  7.  Distribution of particle orientation for different De (Re=30000, St=1, β=8)

    图  8  不同Re时颗粒取向分布(De=2200, St=1, β=8)

    Figure  8.  Distribution of particle orientation for different Re (De=2200, St=1, β=8)

    图  9  不同β时颗粒取向分布(Re=30000, De =2200, St=1)

    Figure  9.  Distribution of particle orientation for different β (Re=30000, De =2200, St=1)

    图  10  不同St下的颗粒通过率(De=1862, Re=10500, β=1)

    Figure  10.  Penetration efficiency of particles at different St (De=1862, Re=10500, β=1)

    图  11  不同颗粒长径比时沉积率与St的关系(Re=30000, De=2200)

    Figure  11.  Relationship between deposition rate and St at different particle aspect ratio (Re=30000, De=2200)

    图  12  不同Re下沉积率与St的关系(De=2200, β=8)

    Figure  12.  Relationship between deposition rate and St at different Re (De =2200, β=8)

    图  13  不同De下沉积率与St的关系(Re =30000, β=8)

    Figure  13.  Relationship between deposition rate and St at different De (Re =30000, β=8)

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  • 收稿日期:  2021-10-25
  • 修回日期:  2022-01-09
  • 网络出版日期:  2022-06-16

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